Valerio, Luca - De centro gravitatis solidorvm libri tres

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1trum grauitatis duarum magnitudinum A, C, ſimul.
Rurſus quoniam recta BD, coniungit duo centra gra
uitatis duarum magnitu
dinum B ſcilicet, & AC,
erit compoſitæ ACB, in
recta BD, centrum graui
tatis: eſt autem illud E.
Quoniam igitur in quo
plano eſt recta BD, in
eodem ſunt duo puncta
B, E, in quo autem pla
no eſt recta BD, in eo
dem eſt recta AC, &
puncta A, C; in quo igi
tur plano ſunt puncta A,
C, in eodem erunt pun
cta B, E; quatuor igitur puncta A, B, C, E, erunt in eodem
plano; Quod demonſtr andum erat.

42[Figure 42]

PROPOSITIO XXIX.

Si à cuiuslibet trianguli centro, & tribus an
gulis quatuor rectæ inter ſe parallelæ plano trian
guli inſiſtant: tres autem magnitudines æquales
habeant centra grauitatis in ijs tribus, quæ ad
angulos; trium magnitudinum ſimul centrum
grauitatis erit in ea, quæ ad trianguli centrum
terminatur.

Sit triangulum ABC, cuius centrum N, à tribus au
tem angulis A, B, C, & centro N, inſiſtant plano trian-

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